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Finding the Third Proportional to 220,676,564 and 476,458,000

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Solution

The third proportional to 220,676,564 and 476,458,000 is: 1,028,710,170.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,676,564 : 476,458,000 = 476,458,000 : x
  2. Step 2: Convert to fraction form
    220,676,564/476,458,000 = 476,458,000/x
  3. Step 3: Cross multiply
    220,676,564x = 476,458,000 × 476,458,000
  4. Step 4: Simplify right side
    220,676,564x = 227,012,225,764,000,000
  5. Step 5: Solve for x
    x = 227,012,225,764,000,000/220,676,564
  6. Step 6: Final answer
    x = 1,028,710,170.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.